419841434428416 has 3168 divisors, whose sum is σ = 1755970964127744. Its totient is φ = 97394437324800.

The previous prime is 419841434428391. The next prime is 419841434428417. The reversal of 419841434428416 is 614824434148914.

419841434428416 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 4 + 1 + 4 + 344 + 284 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (419841434428417) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84936561241 + ... + 84936566183.

Almost surely, 2^{419841434428416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419841434428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877985482063872).

419841434428416 is an abundant number, since it is smaller than the sum of its proper divisors (1336129529699328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419841434428416 is a wasteful number, since it uses less digits than its factorization.

419841434428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5010 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 419841434428416 in words is "four hundred nineteen trillion, eight hundred forty-one billion, four hundred thirty-four million, four hundred twenty-eight thousand, four hundred sixteen".